Abstract
The purpose of this chapter is to define the natural superconnection B attached to a holomorphic fibration p : M → S which is equipped with a (1, 1) form ω M as in Chapter 2, and to establish a formula for its curvature. Contrary to what was done in [BGS88b, BK92, B97], we do not assume ω M to be closed.
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© 2013 Springer Basel
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Bismut, JM. (2013). The elliptic superconnections. In: Hypoelliptic Laplacian and Bott–Chern Cohomology. Progress in Mathematics, vol 305. Birkhäuser, Heidelberg. https://doi.org/10.1007/978-3-319-00128-9_4
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DOI: https://doi.org/10.1007/978-3-319-00128-9_4
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Publisher Name: Birkhäuser, Heidelberg
Print ISBN: 978-3-319-00127-2
Online ISBN: 978-3-319-00128-9
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